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344114300 = 225217319891
BaseRepresentation
bin10100100000101…
…100010001111100
3212222111211002002
4110200230101330
51201043124200
654051321432
711345631455
oct2440542174
9788454062
10344114300
11167275192
12972b0278
13563a523a
14339b812c
1520324bd5
hex1482c47c

344114300 has 36 divisors (see below), whose sum is σ = 751082136. Its totient is φ = 136843200.

The previous prime is 344114299. The next prime is 344114321. The reversal of 344114300 is 3411443.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7355 + ... + 27245.

Almost surely, 2344114300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344114300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375541068).

344114300 is an abundant number, since it is smaller than the sum of its proper divisors (406967836).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

344114300 is a wasteful number, since it uses less digits than its factorization.

344114300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20078 (or 20071 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 344114300 is about 18550.3180565725. The cubic root of 344114300 is about 700.7572078246.

Adding to 344114300 its reverse (3411443), we get a palindrome (347525743).

The spelling of 344114300 in words is "three hundred forty-four million, one hundred fourteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 173 346 692 865 1730 3460 4325 8650 17300 19891 39782 79564 99455 198910 397820 497275 994550 1989100 3441143 6882286 13764572 17205715 34411430 68822860 86028575 172057150 344114300